计算机应用研究2016,Vol.33Issue(6):1697-1702,6.DOI:10.3969/j.issn.1001-3695.2016.06.022
基于证据推理和 VIKOR 的二维语言多准则群决策方法
2-dimension linguistic multi-criteria group decision making method based on evidence reasoning and VIKOR
摘要
Abstract
As to multi-criteria decision making problem where 2-dimension linguistic information was given by experts,this paper proposed a method based on evidence reasoning and VIKOR.First of all,based on the semantics of 2-dimension linguis-tic information and cognitive psychology of experts,this paper defined a function to transform 2-dimension linguistic informa-tion into belief structrue.Secondly,it put forward generalized belief structrue to overcome the inherent lack of belief structrue, and built a new distance between genernalized belief structrue according to the Pignistic probability distance between evi-dences.Ultimately,this paper transformed the 2-dimension linguistic decision matrixs of experts into belief decision matrixs, and used evidence reasoning method to aggregate the belief decision matrixs given by experts into a comprehensive belief deci-sion matrix,based on which it employed VIKOR method to rank the alternatives.An illustrative example and comparative a-nalysis indicates that the proposed method is effective,stable and can reduce the loss of decision information.关键词
二维语言多准则群决策/二维语言信度结构表示函数/广义信度结构距离/证据推理/VIKOR 方法Key words
2-dimension linguistic multi-criteria group decision making/2-dimension linguistic belief structrue representing function/generalized belief structrue distance/evidence reasoning/VIKOR method分类
信息技术与安全科学引用本文复制引用
吴良刚,文丽..基于证据推理和 VIKOR 的二维语言多准则群决策方法[J].计算机应用研究,2016,33(6):1697-1702,6.